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Finding the Fourth Proportional to 202,838.67, 304,407.49 and 96,222.96

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Solution

The fourth proportional to 202,838.67, 304,407.49 and 96,222.96 is: 144,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.67 : 304,407.49 = 96,222.96 : x
  2. Step 2: Convert to fraction form
    202,838.67/304,407.49 = 96,222.96/x
  3. Step 3: Cross multiply
    202,838.67x = 304,407.49 × 96,222.96
  4. Step 4: Simplify right side
    202,838.67x = 29,290,989,733.97
  5. Step 5: Solve for x
    x = 29,290,989,733.97/202,838.67
  6. Step 6: Final answer
    x = 144,405.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.